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Let's simplify the given fractions:

### For part (c) \( \frac{4}{34} \):
1. Find the greatest common divisor (GCD) of 4 and 34.
   - The factors of 4 are: \( 1, 2, 4 \)
   - The factors of 34 are: \( 1, 2, 17, 34 \)
   - The greatest common factor is 2.

2. Divide both the numerator and the denominator by 2:
   \[
   \frac{4 \div 2}{34 \div 2} = \frac{2}{17}
   \]
   Therefore, \( \frac{4}{34} \) simplifies to \( \frac{2}{17} \).

### For part (f) \( \frac{5}{28} \):
1. Find the greatest common divisor (GCD) of 5 and 28.
   - The factors of 5 are: \( 1, 5 \)
   - The factors of 28 are: \( 1, 2, 4, 7, 14, 28 \)
   - The greatest common factor is 1.

2. Since the GCD is 1, the fraction \( \frac{5}{28} \) is already in its simplest form.

### Final Answers
- (c) \( \frac{4}{34} = \frac{2}{17} \)
- (f) \( \frac{5}{28} \) is already simplified.

Would you like more details, or do you have any questions?

Here are 5 related questions for further practice:

1. How do you find the greatest common divisor (GCD) of two numbers?
2. What does it mean for a fraction to be in its simplest form?
3. How can prime factorization help simplify fractions?
4. Why is the fraction \( \frac{5}{28} \) already in its simplest form?
5. Can every fraction be simplified? Why or why not?

**Tip:** Always check for the greatest common divisor (GCD) when simplifying fractions. It ensures you reach the lowest terms directly.

Learn how to simplify the fractions 4/34 and 5/28 with a detailed step-by-step solution. This problem covers key concepts like finding the greatest common divisor (GCD) and simplifying fractions, suitable for students in Grades 5-7.

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